Joe Biden's attempt to convince a Republican to vote for Barack Obama Nov. 6 ended with the vice president jokingly referring to his own potential run for the top job in 2016.

At a restaurant called 400 Station in Sarasota, Florida on Wednesday, Biden spoke on the phone with the brother of a voter who wanted him to chat with her Republican relative, according to a pool report.

After chatting about the health insurance law, Biden concluded, "Well look, I'm not trying to talk you into voting for me, I just wanted to say hi to you, okay? And after it's all over when your insurance rates go down then you'll vote for me in 2016. I'll talk to you later."

No matter who wins next Tuesday - President Obama or Mitt Romney - Democrats are likely to be searching for a new candidate in 2016, either because he will have met his two consecutive term limit or because there will be a primary. Biden has run for president twice before - in 1988 and in 2008, but never received his party's nomination.